a rhombus having side 6cm. and altitude 4cm. which diagonals are 6cm and 8cm.is it possible to draw

this rhombus? by area method if

one dia is 8cm then

(1/2*6*4)+(1/2*6*4)=1/2*6*8

its right but if one dia is 6cm then rhombus will be two equilateral triangl.and another diagonal will paas through mid point of triangle then the length of another diagonal will never be less than 2*root of 27

therefore i wanna know whether this problem is right or wrong give me clarification